Average Velocity on a Position vs Time Graph

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SUMMARY

The discussion focuses on calculating average velocity from a position versus time graph for a particle moving along the x-axis. Key calculations include average velocities of 0.2 m/s, 0.8 m/s, and 1.6 m/s for various time intervals, with corrections provided for miscalculations. The correct formula for average velocity is established as (x2 - x1) / (t2 - t1), with specific examples demonstrating average velocities of 5 m/s and 2.5 m/s during defined intervals. The importance of distinguishing between displacement-time and velocity-time graphs is emphasized.

PREREQUISITES
  • Understanding of basic kinematics concepts
  • Familiarity with graph interpretation
  • Knowledge of average velocity calculations
  • Ability to differentiate between displacement-time and velocity-time graphs
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  • Study the principles of kinematics in physics
  • Learn how to interpret position versus time graphs
  • Explore the concept of constant acceleration and its effects on motion
  • Review examples of average velocity calculations in different scenarios
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Students studying physics, educators teaching kinematics, and anyone interested in understanding motion analysis through graphs.

mandy9008
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A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals. (The horizontal axis is marked in increments of 1 s and the vertical axis is marked in increments of 2 m.)



avg velocity = change in x / change in y



a. v= 2/10 = 0.2
b. v= 4/5 - 0.8
c. v= 2/0 = 0
d. v= 3/10 = 0.3
e. v= 8/5 = 1.6
 

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mandy9008 said:
A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals. (The horizontal axis is marked in increments of 1 s and the vertical axis is marked in increments of 2 m.)



I think your calculation is in correct. For example ,
between 0 to 2s, particle is moving with constant acceleration. So you should use
v(bar)=(u+v)/2=(10+0)/2=5ms-1
 
I am sorry. I thought velocity-time graph. It is displacement- time graph. For displace-time graph,

average velocity=(x2-x1)/(t2-t1)

For example ,
0 to 2s,
average velocity=10/2=5 ms-1
2 to 4s
average velocity=(10-5)/2= 2.5 ms-1
4 to 5s
average velocity=0
5 to 7s
average velocity=5 ms-1
7 to 8s
average velocity=10/2=5 ms-1
 

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